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In this note, we discuss routing and location-routing delivery men problems on a path. The objective of the delivery men problem is to find service tours so as to minimize the total waiting time of all customers. We present an O ( n 2 ) time algorithm for the location-routing problem with a single server. This algorithm is further used in polynomial time algorithms that are developed for routing and location-routing problems with p servers. Also considered is the sales-delivery men problem for which in addition to the delivery men criterion, also the traveling salesman criterion (which is of primary importance) is used.

Technical Note—Routing and Location-Routing p-Delivery Men Problems on a Path